9289242120240 has 120 divisors (see below), whose sum is σ = 31472445813120. Its totient is φ = 2455209695232.

The previous prime is 9289242120227. The next prime is 9289242120269. The reversal of 9289242120240 is 420212429829.

9289242120240 is a `hidden beast` number, since 9 + 289 + 2 + 4 + 2 + 120 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57005920 + ... + 57168639.

It is an arithmetic number, because the mean of its divisors is an integer number (262270381776).

Almost surely, 2^{9289242120240} is an apocalyptic number.

9289242120240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9289242120240 is an abundant number, since it is smaller than the sum of its proper divisors (22183203692880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9289242120240 is a wasteful number, since it uses less digits than its factorization.

9289242120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114174691 (or 114174682 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 9289242120240 in words is "nine trillion, two hundred eighty-nine billion, two hundred forty-two million, one hundred twenty thousand, two hundred forty".